Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files Community
A
stringlengths
4
41
B
stringlengths
4
41
E
int64
0
1
H1
int64
0
1
H2
int64
0
1
H3
int64
0
1
label
stringclasses
2 values
((((w|(v>(v&v)))>((n|m)>n))&(n|(m&o)))&n)
(((n|v)|(o>(t>e)))|~(((v>(t|e))>(b|v))))
1
1
0
0
entailment
~((m|~((~(((n|w)>m))|e))))
(((m>(o|e))&(m&n))|~(m))
1
1
0
0
entailment
((((w|(v>(v&v)))>((n|m)>n))&(n|(m&o)))&n)
(((m>(o|e))&(m&n))|~(m))
0
1
0
0
not entailment
~((m|~((~(((n|w)>m))|e))))
(((n|v)|(o>(t>e)))|~(((v>(t|e))>(b|v))))
0
0
0
0
not entailment
(~(o)&(n>w))
((t|t)|(n>w))
1
1
0
0
entailment
(((v>w)>~(~((v&(n&m)))))&(m&m))
(~(m)|v)
1
1
1
0
entailment
(~(o)&(n>w))
(~(m)|v)
0
1
0
0
not entailment
(((v>w)>~(~((v&(n&m)))))&(m&m))
((t|t)|(n>w))
0
1
0
0
not entailment
~((((w>(b|(m&o)))|~((v&v)))|~(m)))
(((((m&n)>n)>~(~(e)))>((n>b)&n))|(m&m))
1
0
0
0
entailment
~((o>b))
((o|((t&t)&~(w)))|((~(e)|t)>(m&e)))
1
0
0
0
entailment
~((((w>(b|(m&o)))|~((v&v)))|~(m)))
((o|((t&t)&~(w)))|((~(e)|t)>(m&e)))
0
1
0
0
not entailment
~((o>b))
(((((m&n)>n)>~(~(e)))>((n>b)&n))|(m&m))
0
0
0
0
not entailment
(~((m>(w>t)))&((m&n)>(~((e>~(t)))|o)))
((t|t)>~(~((~(n)&b))))
1
1
0
0
entailment
(v&t)
(((b&b)>(v|~(n)))|(e|v))
1
0
0
0
entailment
(~((m>(w>t)))&((m&n)>(~((e>~(t)))|o)))
(((b&b)>(v|~(n)))|(e|v))
0
1
0
0
not entailment
(v&t)
((t|t)>~(~((~(n)&b))))
0
0
0
0
not entailment
(~(t)&o)
((m&t)>n)
1
1
0
0
entailment
(w|w)
~(~(((v>t)|(n|(t|w)))))
1
0
0
0
entailment
(~(t)&o)
~(~(((v>t)|(n|(t|w)))))
0
0
0
0
not entailment
(w|w)
((m&t)>n)
0
0
0
0
not entailment
((n|e)>((n>(~(m)&(w&n)))&o))
((w>m)>(((e&v)>(w|o))|~((b|w))))
1
0
0
0
entailment
(~(~((n|~(o))))&((w|e)|b))
(~((o>n))>b)
1
1
1
1
entailment
((n|e)>((n>(~(m)&(w&n)))&o))
(~((o>n))>b)
0
1
0
0
not entailment
(~(~((n|~(o))))&((w|e)|b))
((w>m)>(((e&v)>(w|o))|~((b|w))))
0
0
0
0
not entailment
~((((o&m)|((n>m)|m))|((v>n)&(t>e))))
(((o&m)>(e&(w&e)))|(n|~(t)))
1
1
0
0
entailment
((((w|w)|n)|(o|~(((n|(w>n))|b))))&v)
(((v&o)>m)>v)
1
1
0
0
entailment
~((((o&m)|((n>m)|m))|((v>n)&(t>e))))
(((v&o)>m)>v)
0
1
1
0
not entailment
((((w|w)|n)|(o|~(((n|(w>n))|b))))&v)
(((o&m)>(e&(w&e)))|(n|~(t)))
0
1
0
0
not entailment
((n&((e>m)>o))&((t|v)|((v&t)|~(~(b)))))
(n|v)
1
1
1
1
entailment
(~((v|v))&(((m&n)|w)&~(~((w|b)))))
((o|((w&e)|~(b)))|~(v))
1
1
0
0
entailment
((n&((e>m)>o))&((t|v)|((v&t)|~(~(b)))))
((o|((w&e)|~(b)))|~(v))
0
1
0
0
not entailment
(~((v|v))&(((m&n)|w)&~(~((w|b)))))
(n|v)
0
1
1
0
not entailment
(w&(((e>b)>m)&(b|(m|t))))
(((w|w)|b)|(v>(n|((b&n)|e))))
1
0
0
0
entailment
~((w&(((v&n)>o)|(n|~(b)))))
((b|e)>((((v>m)>v)&w)>~(((o&(v>m))>o))))
1
0
0
0
entailment
(w&(((e>b)>m)&(b|(m|t))))
((b|e)>((((v>m)>v)&w)>~(((o&(v>m))>o))))
0
0
0
0
not entailment
~((w&(((v&n)>o)|(n|~(b)))))
(((w|w)|b)|(v>(n|((b&n)|e))))
0
1
0
0
not entailment
~(((m|~((m|(m>(w>b)))))|o))
(((~(~(b))&(~(m)|e))&m)>~((t|w)))
1
0
0
0
entailment
~(((o>b)>(e>t)))
((t>v)|(b>m))
1
1
0
0
entailment
~(((m|~((m|(m>(w>b)))))|o))
((t>v)|(b>m))
0
1
0
0
not entailment
~(((o>b)>(e>t)))
(((~(~(b))&(~(m)|e))&m)>~((t|w)))
0
0
0
0
not entailment
(~((((b&(n|o))>(t|o))|n))|~((~(e)>v)))
((w>o)>(v>(e|((b&m)&w))))
1
1
0
0
entailment
(w&m)
(b|(m|t))
1
0
0
0
entailment
(~((((b&(n|o))>(t|o))|n))|~((~(e)>v)))
(b|(m|t))
0
1
0
0
not entailment
(w&m)
((w>o)>(v>(e|((b&m)&w))))
0
0
0
0
not entailment
~((v>(n|e)))
(~(e)>((b&b)>((o>(e>n))>(t|~((n&m))))))
1
0
0
0
entailment
(v&w)
(w|(~(n)&~(~(o))))
1
0
0
0
entailment
~((v>(n|e)))
(w|(~(n)&~(~(o))))
0
0
0
0
not entailment
(v&w)
(~(e)>((b&b)>((o>(e>n))>(t|~((n&m))))))
0
0
0
0
not entailment
((e|w)&(~((o>t))&e))
(~(~((w|(w|e))))|(v>o))
1
0
0
0
entailment
~(((t&v)>(w|o)))
(~(t)>(o>((b|(t|e))>t)))
1
0
0
0
entailment
((e|w)&(~((o>t))&e))
(~(t)>(o>((b|(t|e))>t)))
0
0
0
0
not entailment
~(((t&v)>(w|o)))
(~(~((w|(w|e))))|(v>o))
0
0
0
0
not entailment
(~((e>y))&(o>(a>(e>v))))
((~((l&l))&~(~(k)))|(v|(e|y)))
1
0
0
0
entailment
~(((e|(a|a))>(~(~((v&v)))|l)))
(~((y&a))>((b|(v>y))|l))
1
1
0
0
entailment
(~((e>y))&(o>(a>(e>v))))
(~((y&a))>((b|(v>y))|l))
0
1
0
0
not entailment
~(((e|(a|a))>(~(~((v&v)))|l)))
((~((l&l))&~(~(k)))|(v|(e|y)))
0
1
0
0
not entailment
(v&l)
(l|y)
1
1
0
0
entailment
((e&b)|(b&a))
~(~(((e|b)>b)))
1
0
1
0
entailment
(v&l)
~(~(((e|b)>b)))
0
0
0
0
not entailment
((e&b)|(b&a))
(l|y)
0
1
0
0
not entailment
(~((y>o))&(a|l))
(~(~(((~(e)&(l|(((y&o)&e)|e)))|b)))|y)
1
0
0
0
entailment
((~(~(e))&~(~(e)))&k)
((((l&((k&v)|a))|(l|((a&v)&o)))&l)|k)
1
0
0
0
entailment
(~((y>o))&(a|l))
((((l&((k&v)|a))|(l|((a&v)&o)))&l)|k)
0
0
0
0
not entailment
((~(~(e))&~(~(e)))&k)
(~(~(((~(e)&(l|(((y&o)&e)|e)))|b)))|y)
0
0
0
0
not entailment
((v&y)&e)
(e|b)
1
1
0
0
entailment
~((y|(o|e)))
(~(a)|~((((e|k)&(y|l))&(l&e))))
1
0
0
0
entailment
((v&y)&e)
(~(a)|~((((e|k)&(y|l))&(l&e))))
0
0
0
0
not entailment
~((y|(o|e)))
(e|b)
0
1
0
0
not entailment
(~((((a|v)|o)>(y>(y&l))))&~(l))
((((~(o)&k)|e)&(b>((y>o)&b)))|y)
1
1
0
0
entailment
(((~(~(~(b)))|y)&l)|b)
(b|l)
1
1
1
1
entailment
(~((((a|v)|o)>(y>(y&l))))&~(l))
(b|l)
0
1
0
0
not entailment
(((~(~(~(b)))|y)&l)|b)
((((~(o)&k)|e)&(b>((y>o)&b)))|y)
0
0
0
0
not entailment
(e&y)
(~((b|a))|y)
1
0
0
0
entailment
((b>(v>v))&v)
((l|k)|(v|(v&a)))
1
0
0
0
entailment
(e&y)
((l|k)|(v|(v&a)))
0
0
0
0
not entailment
((b>(v>v))&v)
(~((b|a))|y)
0
1
0
0
not entailment
~((((o>v)>e)|b))
(((b&k)>(v|e))|~((l&l)))
1
0
0
0
entailment
~((~(~((v|a)))|~((a|~(o)))))
~((a&y))
1
1
0
0
entailment
~((((o>v)>e)|b))
~((a&y))
0
1
0
0
not entailment
~((~(~((v|a)))|~((a|~(o)))))
(((b&k)>(v|e))|~((l&l)))
0
1
0
0
not entailment
(a&((e&k)&y))
(((k>l)&(((k&a)>(a&a))|(l>v)))>(y|b))
1
0
0
0
entailment
~(~((~((~(k)>(b|y)))&~((l>(k|o))))))
(~(y)|~(b))
1
1
1
1
entailment
(a&((e&k)&y))
(~(y)|~(b))
0
1
0
0
not entailment
~(~((~((~(k)>(b|y)))&~((l>(k|o))))))
(((k>l)&(((k&a)>(a&a))|(l>v)))>(y|b))
0
1
0
0
not entailment
(y&v)
((~(~(((y&y)>y)))|a)&((a&~(~(e)))|y))
1
0
0
0
entailment
((((v|~(l))|~(y))&o)|((e>(e|y))>o))
~(~((e|(~((k|l))|(o|(((b|y)>v)>b))))))
1
0
0
0
entailment
(y&v)
~(~((e|(~((k|l))|(o|(((b|y)>v)>b))))))
0
0
0
0
not entailment
((((v|~(l))|~(y))&o)|((e>(e|y))>o))
((~(~(((y&y)>y)))|a)&((a&~(~(e)))|y))
0
0
0
0
not entailment
(((~(o)&b)&(k&(a>l)))&b)
((l|(~(~(l))>y))>(e>((~(b)>y)|l)))
1
0
0
0
entailment
(o|(y&o))
(y>o)
1
1
1
0
entailment
(((~(o)&b)&(k&(a>l)))&b)
(y>o)
0
1
0
0
not entailment
(o|(y&o))
((l|(~(~(l))>y))>(e>((~(b)>y)|l)))
0
0
0
0
not entailment
((~((o>o))|k)&y)
((v>y)|~(((o|(~(b)&((a|k)&l)))|y)))
1
0
0
0
entailment
~((~(l)>(v&(k&a))))
(o>(o>~(l)))
1
1
0
0
entailment
((~((o>o))|k)&y)
(o>(o>~(l)))
0
1
0
0
not entailment
~((~(l)>(v&(k&a))))
((v>y)|~(((o|(~(b)&((a|k)&l)))|y)))
0
0
0
0
not entailment
~(~(((y&e)|(b&(b>~((l&o)))))))
~(~((b|(o|(e|v)))))
1
1
0
0
entailment
(((((y>l)>a)|~(y))|((b>b)|b))>y)
(y|(v&b))
1
1
0
0
entailment
~(~(((y&e)|(b&(b>~((l&o)))))))
(y|(v&b))
0
1
0
0
not entailment
(((((y>l)>a)|~(y))|((b>b)|b))>y)
~(~((b|(o|(e|v)))))
0
1
0
0
not entailment